%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO027-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:53:19 AM UTC 2026
% Result : Unsatisfiable 4.29s 1.08s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 54 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f21,negated_conjecture,
w != extension(u,v,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_an_extension) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f38,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f26,f1]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X6,X1,X3,X7))
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X2,X3,X7)
| X0 = X1
| equidistant(extension(X6,X1,X3,X7),X4,X7,X5) ),
inference(resolution,[],[f6,f5]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X4,X1,X5,X3)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X2,X5,X6)
| X0 = X4
| equidistant(extension(X0,X4,X5,X6),X1,X6,X3) ),
inference(resolution,[],[f48,f4]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X4)
| X0 = X3
| equidistant(extension(X3,X0,X0,X4),X1,X4,X2) ),
inference(resolution,[],[f107,f38]) ).
fof(f1475,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X0,X1)
| ~ between(X2,X0,X3)
| X0 = X2
| equidistant(extension(X2,X0,X0,X3),X1,X3,X1) ),
inference(resolution,[],[f225,f38]) ).
fof(f1484,plain,
! [X2,X3,X0,X1] :
( equidistant(extension(X2,X0,X0,X3),X1,X3,X1)
| X0 = X2
| ~ between(X2,X0,X3) ),
inference(forward_subsumption_resolution,[],[f1475,f38]) ).
fof(f5806,plain,
! [X2,X0,X1] :
( ~ between(X1,X0,X2)
| X0 = X1
| extension(X1,X0,X0,X2) = X2 ),
inference(resolution,[],[f1484,f3]) ).
fof(f12306,plain,
( u = v
| w = extension(u,v,v,w) ),
inference(resolution,[],[f5806,f19]) ).
fof(f12324,plain,
w = extension(u,v,v,w),
inference(forward_subsumption_resolution,[],[f12306,f20]) ).
fof(f12329,plain,
$false,
inference(forward_subsumption_resolution,[],[f12324,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO027-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:37:17 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/1.08 % (3631054)Will run a generic schedule for satisfiability detection.
% 4.29/1.08 % (3631059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1705008771_2999 on theBenchmark for (2999ds/0Mi)
% 4.29/1.08 % TRYING [1]
% 4.29/1.08 % TRYING [2]
% 4.29/1.08 % TRYING [3]
% 4.29/1.08 % (3631060)% WARNING: option uhcvi not known.
% 4.29/1.08 % (3631060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=686384864:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.29/1.08 % (3631064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4020094825:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.29/1.08 % (3631061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3065409158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.29/1.08 % (3631062)dis+10_1_sil=32000:sp=arity:random_seed=2544842136:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.29/1.08 % (3631063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3664337993:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.29/1.08 % (3631065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1457460755:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.29/1.08 % TRYING [4]
% 4.29/1.08 % (3631063)Instruction limit reached!
% 4.29/1.08 % (3631063)------------------------------
% 4.29/1.08 % (3631063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631063)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631063)Termination reason: Instruction limit
% 4.29/1.08 % (3631063)Termination phase: Saturation
% 4.29/1.08 % (3631063)Time elapsed: 0.060 s
% 4.29/1.08 % (3631063)Peak memory usage: 11 MB
% 4.29/1.08 % (3631063)Instructions burned: 120 (million)
% 4.29/1.08 % (3631062)Instruction limit reached!
% 4.29/1.08 % (3631062)------------------------------
% 4.29/1.08 % (3631062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631062)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631062)Termination reason: Instruction limit
% 4.29/1.08 % (3631062)Termination phase: Saturation
% 4.29/1.08 % (3631062)Time elapsed: 0.067 s
% 4.29/1.08 % (3631062)Peak memory usage: 11 MB
% 4.29/1.08 % (3631062)Instructions burned: 106 (million)
% 4.29/1.08 % (3631075)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=768422105:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.29/1.08 % (3631064)Instruction limit reached!
% 4.29/1.08 % (3631064)------------------------------
% 4.29/1.08 % (3631064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631064)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631064)Termination reason: Instruction limit
% 4.29/1.08 % (3631064)Termination phase: Saturation
% 4.29/1.08 % (3631064)Time elapsed: 0.087 s
% 4.29/1.08 % (3631064)Peak memory usage: 13 MB
% 4.29/1.08 % (3631064)Instructions burned: 132 (million)
% 4.29/1.08 % (3631079)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1821765881:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.29/1.08 % TRYING [1]
% 4.29/1.08 % TRYING [2]
% 4.29/1.08 % TRYING [3]
% 4.29/1.08 % (3631084)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=876336623:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.29/1.08 % (3631065)Instruction limit reached!
% 4.29/1.08 % (3631065)------------------------------
% 4.29/1.08 % (3631065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631065)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631065)Termination reason: Instruction limit
% 4.29/1.08 % (3631065)Termination phase: Saturation
% 4.29/1.08 % (3631065)Time elapsed: 0.114 s
% 4.29/1.08 % (3631065)Peak memory usage: 13 MB
% 4.29/1.08 % (3631065)Instructions burned: 160 (million)
% 4.29/1.08 % TRYING [4]
% 4.29/1.08 % TRYING [5]
% 4.29/1.08 % (3631091)ott-21_1_sil=16000:fs=off:random_seed=3532580202:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.29/1.08 % (3631079)Instruction limit reached!
% 4.29/1.08 % (3631079)------------------------------
% 4.29/1.08 % (3631079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631079)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631079)Termination reason: Instruction limit
% 4.29/1.08 % (3631079)Termination phase: Saturation
% 4.29/1.08 % (3631079)Time elapsed: 0.088 s
% 4.29/1.08 % (3631079)Peak memory usage: 13 MB
% 4.29/1.08 % (3631079)Instructions burned: 132 (million)
% 4.29/1.08 % (3631106)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1514832636:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.29/1.08 % (3631091)Instruction limit reached!
% 4.29/1.08 % (3631091)------------------------------
% 4.29/1.08 % (3631091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631091)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631091)Termination reason: Instruction limit
% 4.29/1.08 % (3631091)Termination phase: Saturation
% 4.29/1.08 % (3631091)Time elapsed: 0.102 s
% 4.29/1.08 % (3631091)Peak memory usage: 12 MB
% 4.29/1.08 % (3631091)Instructions burned: 181 (million)
% 4.29/1.08 % (3631115)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=330892310:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.29/1.08 % TRYING [1]
% 4.29/1.08 % TRYING [2]
% 4.29/1.08 % TRYING [3]
% 4.29/1.08 % TRYING [4]
% 4.29/1.08 % (3631075)Instruction limit reached!
% 4.29/1.08 % (3631075)------------------------------
% 4.29/1.08 % (3631075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631075)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631075)Termination reason: Instruction limit
% 4.29/1.08 % (3631075)Termination phase: Finite model building constraint generation
% 4.29/1.08 % (3631075)Time elapsed: 0.285 s
% 4.29/1.08 % (3631075)Peak memory usage: 44 MB
% 4.29/1.08 % (3631075)Instructions burned: 715 (million)
% 4.29/1.08 % (3631127)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2933589548:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.29/1.08 % (3631084)Instruction limit reached!
% 4.29/1.08 % (3631084)------------------------------
% 4.29/1.08 % (3631084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631084)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631084)Termination reason: Instruction limit
% 4.29/1.08 % (3631084)Termination phase: Saturation
% 4.29/1.08 % (3631084)Time elapsed: 0.406 s
% 4.29/1.08 % (3631084)Peak memory usage: 16 MB
% 4.29/1.08 % (3631084)Instructions burned: 685 (million)
% 4.29/1.08 % (3631129)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1425805033:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.29/1.08 % (3631106)Instruction limit reached!
% 4.29/1.08 % (3631106)------------------------------
% 4.29/1.08 % (3631106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631106)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631106)Termination reason: Instruction limit
% 4.29/1.08 % (3631106)Termination phase: Saturation
% 4.29/1.08 % (3631106)Time elapsed: 0.334 s
% 4.29/1.08 % (3631106)Peak memory usage: 13 MB
% 4.29/1.08 % (3631106)Instructions burned: 478 (million)
% 4.29/1.08 % (3631135)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1900513147:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.29/1.08 % (3631060) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3631054-3631060"...
% 4.29/1.08 % (3631060)...printing done.
% 4.29/1.08 % (3631060)Refutation found. Thanks to Tanya!
% 4.29/1.08 % SZS status Unsatisfiable for theBenchmark
% 4.29/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 4.29/1.08 % (3631060)------------------------------
% 4.29/1.08 % (3631060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.08 % (3631060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.08 % (3631060)CaDiCaL version: 2.1.3
% 4.29/1.08 % (3631060)Termination reason: Refutation
% 4.29/1.08 % (3631060)Time elapsed: 0.593 s
% 4.29/1.08 % (3631060)Peak memory usage: 19 MB
% 4.29/1.08 % (3631060)Instructions burned: 955 (million)
% 4.29/1.08 % (3631054)Success in time 0.638 s
% 4.29/1.08 % Vampire exiting
%------------------------------------------------------------------------------